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10x=4x*4x-6
We move all terms to the left:
10x-(4x*4x-6)=0
We get rid of parentheses
10x-4x*4x+6=0
Wy multiply elements
-16x^2+10x+6=0
a = -16; b = 10; c = +6;
Δ = b2-4ac
Δ = 102-4·(-16)·6
Δ = 484
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{484}=22$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(10)-22}{2*-16}=\frac{-32}{-32} =1 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(10)+22}{2*-16}=\frac{12}{-32} =-3/8 $
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